TY - JOUR T1 - Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations AU - Keiichi Kitamura, Meng-Sing Liou & Chih-Hao Chang JO - Communications in Computational Physics VL - 3 SP - 632 EP - 674 PY - 2014 DA - 2014/12 SN - 16 DO - http://doi.org/10.4208/cicp.020813.190214a UR - https://global-sci.org/intro/article_detail/cicp/7057.html KW - AB -

Several recently developed AUSM-family numerical flux functions (SLAU, SLAU2, AUSM⁺-up2, and AUSMPW+) have been successfully extended to compute compressible multiphase flows, based on the stratified flow model concept, by following two previous works: one by M.-S. Liou, C.-H. Chang, L. Nguyen, and T.G. Theofanous [AIAA J. 46:2345-2356, 2008], in which AUSM⁺-up was used entirely, and the other by C.-H. Chang, and M.-S. Liou [J. Comput. Phys. 225:840-873, 2007], in which the exact Riemann solver was combined into AUSM⁺-up at the phase interface. Through an extensive survey by comparing flux functions, the following are found: (1) AUSM⁺-up with dissipation parameters of K_p and K_u equal to 0.5 or greater, AUSMPW+, SLAU2, AUSM⁺-up2, and SLAU can be used to solve benchmark problems, including a shock/water-droplet interaction; (2) SLAU shows oscillatory behaviors [though not as catastrophic as those of AUSM⁺ (a special case of AUSM⁺-up with K_p=K_u=0)] due to insufficient dissipation arising from its ideal-gas-based dissipation term; and (3) when combined with the exact Riemann solver, AUSM⁺-up (K_p=K_u=1), SLAU2, and AUSMPW+ are applicable to more challenging problems with high pressure ratios.